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有限簇非扩张映象的不动点定理及逼近算法
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]重庆工商大学数学与统计学院,重庆400067, [2]西南大学数学与统计学院,重庆400715
  • 相关基金：国家自然科学基金（11001287）、重庆市自然科学基金（CSTC2010BB9254）和重庆市教委科技研究项目（KJ110701）资助
作者： 闻道君[1], 邓磊[2]
关键词： 非扩张映象, 公共不动点, 修正的Mann迭代, BANACH极限, Nonexpansive mappings, Common fixed-point, Modified Mann iteration, Banach limits.
中文摘要：

在具有一致Gateaux可微范数的Banach空间中，研究了一个逼近有限簇非扩张映象不动点的修正的Mann迭代，并在一定条件下证明了该迭代格式所产生的序列强收敛到有限簇非扩张映象的某个公共不动点．

英文摘要：

In this paper, a modified Mann iteration is proposed for finding a common fixedpoint of a finite family of nonexpansive mappings, in which strong convergence theorems are proved under some suitable conditions. The results presented in this paper can be considered as an extension and improvement of some previously known results.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
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  • 被引量:5382